Properties of the Stereographic Projection of Lattice Points
Title
Properties of the Stereographic Projection of Lattice Points
Subject
Physics
Description
Alessandro Sainaghi
Date
2025
Abstract
This report contains our research output after participating in the 2025 Undergraduate Research Support Scheme (URSS) at the University of Warwick. The project was carried out with the Warwick Mathematics Institute (WMI) under the supervision of Helena Verrill. First, we introduce important concepts that we then use to study some of the properties of the stereographic projection. Using these properties, we investigate how this projection redistributes lattice points by extending Minkowski's theorem to sets on the sphere. We finish our project by developing and 3D printing models of the stereographic projection.
Files
Collection
Citation
Alessandro Sainaghi, “Properties of the Stereographic Projection of Lattice Points,” URSS SHOWCASE, accessed November 4, 2025, https://linen-dog.lnx.warwick.ac.uk/items/show/892.